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Analog and Digital Signal Processing

ISBN-10: 0471923427

ISBN-13: 9780471923428

Edition: 1990

Authors: Hussein Baher

List price: $84.95
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Book details

List price: $84.95
Copyright year: 1990
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/27/1990
Binding: Paperback
Pages: 492
Size: 7.50" wide x 9.75" long x 1.25" tall
Weight: 2.046
Language: English

Preface
General Introduction
Signals
Analog Signals
Discrete-time and Digital Signals
Deterministic and Random Signals
Signal Processing Systems
Analog Systems
Discrete and Digital Systems
The Fourier Series in Spectral Analysis and Function Approximation
Introduction
Fundamentals
Simplifying the Notation
Periodicity
Derivation of the Expressions for the Coefficients
Even and Odd Functions
Signals as Functions of Time
A Glimpse at the Applications of the Fourier Series
Dirichlet's Conditions
The Significance of Convergence
The Complex Fourier Series
The Time and Discrete Frequency Domains
Line Spectra
Convolution
Bessel's Inequality, Parseval's Theorem and Power Spectrum
The 'Least Squares' Approximation Property of the Fourier Series
The Convergence Problem
An Integral Formula for the Partial Sum
The (sin [psi])/[psi] Function and the Sine Integral
Convergence for Differentiable and Sectionally Differentiable Functions
Well Convergent Series of Particularly Smooth Functions
The Gibbs' Phenomenon
Conclusion
Summary
Problems
Computer Exercises
The Fourier Transformation and Generalized Signals
Introduction
From the Fourier Coefficients to the Fourier Integral
Real Signals
Causal Signals
Basic Properties of the Fourier Transform
Symmetry
Conjugate Functions
Linearity
Scaling
Shifting in Time
Shifting in Frequency
Modulation
Differentiation with Respect to Time
Differentiation with Respect to Frequency
Convolution
Time-convolution
Frequency-convolution
Parseval's Theorem and Energy Spectra
Correlation Functions and the Wiener-Kintchine Theorem
The Unit Impulse and Generalized Functions
Motivation
A Heuristic Introduction
The Impulse as a Distribution (Generalized Function)
The Unit Impulse as the Limit of a Sequence
Properties of the Unit Impulse
The Impact of Distributions on the Fourier Transform
The Impulse Response and System Function
Causal Functions and the Hilbert Transform
The Impulse Train and its Applications
Periodic Signals
The Fourier Transform of a Periodic Signal
Power Spectra and Correlation Functions
Poisson's Sum Formula
Schwartz's Inequality
The Uncertainty Principle
Time-limited and Band-limited Signals
Conclusion
Summary
Problems
Computer Exercises
The Laplace Transformation and Some of its Applications
Introduction
Definition and General Considerations
The Laplace Transform of Some Elementary Functions
Existence and Analyticity of the Laplace Transform
Properties of the Laplace Transform
Linearity
Scaling
Differentiation in the Time Domain
Integration in the Time Domain
Differentiation in the Frequency Domain
Integration in the Frequency Domain
Translation in the Time Domain
Translation in the Frequency Domain
Periodic Signals
Convolution
The Inverse Laplace Transform of a Rational Function
A Preliminary Step
The Partial Fraction Expansion of a Proper Fraction
Formulae for the Residues
The Complex Inversion Integral
The Significance of Poles and Zeros
The Initial and Final Value Theorems
The Initial Value Theorem
The Final Value Theorem
Solution of Linear Differential Equations
Network Analysis Using the Laplace Transform
The Basic Building Blocks
The Transformed Network
The General Analysis Technique
Source Transformations
Network Theorems and Special Techniques
Conclusion
Summary
Problems
Computer Exercises
Analog Signal Processing Systems
Introduction
The System Function
System Stability
A Stability Test--Hurwitz Polynomials
Elementary Signal Processing Systems
Realization of System Functions
Filters
Ideal Filters
Amplitude-oriented Design
Frequency Transformations
Phase-oriented Design
Conclusion
Summary
Problems
Computer Exercises
Digitization of Analog Signals
Introduction
Sampling
Ideal Impulse Sampling
The Sampling Theorem
Practical Sampling Functions
Quantization
Encoding and Binary Number Representation
Fixed-point Numbers
Number Quantization
Floating-point Numbers
Comparison between Fixed-point and Floating-point Arithmetic
Conclusion
Problems
Discrete Signals and Systems
Introduction
Sequences and Discrete Systems
The z-Transformation: Definition and General Considerations
Relationship between the z-Transform and the Laplace Transform
Properties of the z-Transform
Linearity
Shifting
Convolution of Sequences
Convergence
The Inverse z-Transform
Use of the Inversion Integral
Use of Long Division (Series Expansion)
Use of Partial Fractions
Complex Convolution
Description of Discrete Systems
The Difference Equation and Transfer Function
The Frequency Response
Stability
The Bilinear Variable
Digital Filters
Digital Filter Building Blocks
A Rudimentary Digital Processor
Classification of Digital Filters
Realization Structures of IIR Filters
Non-recursive Realization of FIR Transfer Functions
Conclusion
Summary
Problems
Computer Exercises
Design of Digital Filters
Introduction
Amplitude-oriented Design of IIR Filters
Low-pass Filters
High-pass Filters
Band-pass Filters
Band-stop Filters
Phase-oriented Design of IIR Filters
Maximally Flat Group-delay Response
FIR Filters
The Exact Linear Phase Property
Fourier-coefficient Filter Design
Fourier-coefficient Design of Differentiators
Monotonic Amplitude Response with the Optimum Number of Constraints
Optimum Equiripple Response in both Passband and Stopband
Comparison Between IIR and FIR Filters
Conclusion
Summary
Problems
Computer Exercises
The Fast Fourier Transform and Its Applications
Introduction
Periodic Functions
Non-Periodic Functions
The Discrete Fourier Transform (DFT)
The Fast Fourier Transform (FFT) Algorithms
Decimation-in-time Fast Fourier Transform
Decimation-in-frequency Fast Fourier Transform
Radix 4 Fast Fourier Transform
Properties of the Discrete Fourier Transform
Linearity
Cyclic Convolution
Shifting
Symmetry and Conjugate Pairs
Parseval's Relation and Power Spectrum
Cyclic Correlation
Relation to the z-Transform
Spectral Analysis Using the Fft
Evaluation of the Fourier Integral
Evaluation of the Fourier Coefficients
Spectral Windows
Continuous-time Signals
Discrete-time Signals
Fast Convolution, Filtering and Correlation Using the FFT
Cyclic (Periodic) Convolution
Non-Periodic Convolution
Filtering and Sectioned Convolution
Fast Correlation
Conclusion
Summary
Problems
Computer Exercises
Stochastic Signals and Power Spectra
Introduction
Random Variables
Probability Distribution Function
Probability Density Function
Joint Distributions
Statistical Parameters
Analog Stochastic Processes
Statistics of Stochastic Processes
Stationary Processes
Time Averages
Ergodicity
Power Spectra of Stochastic Signals
Signals Through Linear Systems
Discrete-time Stochastic Processes
Statistical Parameters
Stationary Processes
Power Spectrum Estimation
Continuous-time Signals
Discrete-time Signals
Conclusion
Problems
Finite Word-length Effects in Digital Signal Processors
Introduction
Input Signal Quantization Errors
Coefficient Quantization Effects
Effect of Round-off Accumulation
Round-off Accumulation without Coefficient Quantization
Round-off Accumulation with Coefficient Quantization
Auto-Oscillations: Overflow and Limit Cycles
Overflow Oscillations
Limit Cycles and the Dead-Band Effect
Conclusion
Problems
Selected Applications and Advanced Topics
Introduction
Mean-Square Approximation
Analog Signals
Discrete Signals
Linear Estimation, Modelling and Optimum Filters
Optimum Minimum Mean-Square Error Analog Estimation
Smoothing by Non-Causal Wiener Filters
Causal Wiener Filters
The Matched Filter
Discrete-Time Linear Estimation
Non-recursive Wiener Filtering
Adaptive Filtering Using the Minimum Mean-Square (Mms) Error Gradient Algorithm
The Least Mean-square (Lms) Error Gradient Algorithm
Adaptive IIR Filtering and System Modelling
An Application of Adaptive Filters
Sigma-delta Analog-to-digital Converters
General Considerations
The First-order Converter
The Second-order Converter
The Wavelet Transformation
Conclusion
Functions of a Real Variable
Functions of a Complex Variable
References
Answers to Selected Problems